Antonio Gutierrez retweeted
Antonio Gutierrez@gogeometry
Oct 15
Explore Problem 1627: three tangent circles with collinear centers and curvilinear incircles. Can you prove the geometric progression & harmonic relations? 📐✨

Details: gogeometry.com/school-college…

#Geometry #GeoGebra #Gogeometry #Math
Diagram of Geometry Problem 1627 showing three mutually tangent circles with collinear centers, a common external tangent line, and two curvilinear incircles in the spaces between them.
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Antonio Gutierrez@gogeometry
Oct 15
Explore Problem 1627: three tangent circles with collinear centers and curvilinear incircles. Can you prove the geometric progression & harmonic relations? 📐✨

Details: gogeometry.com/school-college…

#Geometry #GeoGebra #Gogeometry #Math
Diagram of Geometry Problem 1627 showing three mutually tangent circles with collinear centers, a common external tangent line, and two curvilinear incircles in the spaces between them.
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Antonio Gutierrez retweeted
Stéphane Bernard@steph_bernard69
Oct 4
Replying to @gogeometry
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Antonio Gutierrez@gogeometry
Oct 4
Problem 1626
Can you prove segment GH in terms of triangle sides and an inscribed rhombus? Pure synthetic elegance awaits!

Explore problem & diagram: gogeometry.com/school-college…

#Geometry #Math #STEM #Geogebra #Demos
Geometric diagram for Problem 1626 showing triangle ABC with side lengths a, b, and c, containing an inscribed rhombus BDEF of side length d, and intersecting lines defining segment GH.
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Antonio Gutierrez retweeted
Antonio Gutierrez@gogeometry
Oct 1
The 1625 Twist 📐
An interior point holds a hidden code. Can you bridge the gap to find the missing altitude? ✨

gogeometry.com/school-college…
#Geometry #Math #MathTwitter #ProblemSolving #MathCompetition #Geogebra
Illustration of Geometry Problem 1625: Isosceles right triangle with an interior point and altitude
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Antonio Gutierrez@gogeometry
Oct 1
The 1625 Twist 📐
An interior point holds a hidden code. Can you bridge the gap to find the missing altitude? ✨

gogeometry.com/school-college…
#Geometry #Math #MathTwitter #ProblemSolving #MathCompetition #Geogebra
Illustration of Geometry Problem 1625: Isosceles right triangle with an interior point and altitude
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Antonio Gutierrez retweeted
Stéphane Bernard@steph_bernard69
Sep 27
Replying to @gogeometry
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Antonio Gutierrez@gogeometry
Sep 27
Problem 1624
A right triangle, an incircle, and a square walk into a hypotenuse...

Can you prove this neat relationship in just 2 lines? 👇

Details & full diagram: gogeometry.com/school-college…

#MathTwitter #Geometry #Maths #GoGeometry
Geometry Problem 1624 diagram illustrating a right triangle with an incircle, a circumscribed square of side 2r, and hypotenuse segments m and n
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Antonio Gutierrez retweeted
Stéphane Bernard@steph_bernard69
Sep 24
Replying to @gogeometry
This is quite direct with the cosinus rule and the fact that facing angles are supplementary.
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Antonio Gutierrez@gogeometry
Sep 23
When chaos turns into pure geometric harmony! 📐✨

Three external squares on a triangle form an outer hexagon. Can you prove its squared perimeter sum equals 4x the triangle's squared sides?

Proof & diagram: gogeometry.com/school-college…
#Geometry #MathPuzzle #STEM
Geometric diagram showing triangle ABC with three squares constructed externally on its sides, forming an outer hexagon EDGFIH.
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Antonio Gutierrez retweeted
Antonio Gutierrez@gogeometry
Jul 23
Can 40° & 70° angles reveal a hidden √3 identity? 📐✨

In △ABC, altitude AH connects to sides in a striking relation: AC + AH = BH·√3
Can you construct the 30°-60°-90° auxiliary proof?

Full problem, diagram & hints 👇 gogeometry.com/school-college…

#Geometry #Math #Geogebra
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Antonio Gutierrez@gogeometry
Sep 19
Geometric Challenge Problem 1623 📐✨

Two adjacent squares are circumscribed by a rectangle Q. Prove that Q is strictly a square of side length L = h + m!

👇 Full problem statement & hints: gogeometry.com/school-college…
#Geometry #MathPuzzle #GoGeometry
Geometric diagram showing two adjacent squares resting on a horizontal baseline. An auxiliary segment AG and its corresponding altitude m form a right triangle ABG. A bounding rectangle Q circumscribes both squares, oriented with sides parallel and perpendicular to AG. The challenge is to prove that rectangle Q is strictly a square with side length L = h + m.
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Antonio Gutierrez@gogeometry
Aug 21
From Euclid to embeddings — explore the hidden geometry of AI in our new interactive mind map. 🧵

Five pillars: AI Revolution, Geometry of AI, Human Work, Intelligence, Co-Creativity.

🔗 gogeometry.com/software/ai/ai…

#Geometry #AI #MindMap #EdTech #Mathematics #GoGeometry
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Antonio Gutierrez retweeted
aiscube@aiscubeh
Jul 24
Replying to @gogeometry
1) mirror triangle ABH along AB to get triangle ABK. AK=AH=x
(BK)n(HA)=C’
2) angle C’AK=60, KC’A=30
=> AC’=2AK=2x=AC
3) C’H=AC+AH=sqrt(3)BH ( from triangle BHC’.
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Antonio Gutierrez retweeted
aiscube@aiscubeh
Aug 2
Replying to @gogeometry
S=pr.
p=(2c+2r)/2=c+r.
S=r(r+c).
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Antonio Gutierrez@gogeometry
Jul 23
Can 40° & 70° angles reveal a hidden √3 identity? 📐✨

In △ABC, altitude AH connects to sides in a striking relation: AC + AH = BH·√3
Can you construct the 30°-60°-90° auxiliary proof?

Full problem, diagram & hints 👇 gogeometry.com/school-college…

#Geometry #Math #Geogebra
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Antonio Gutierrez retweeted
Antonio Gutierrez@gogeometry
Jul 19
Geometry Problem 1620 📐
Perpendicular chords split a circle into 4 curvilinear regions to reveal a hidden area difference invariant!

See why curves disappear, governed only by a central rectangle.

Details & proof: gogeometry.com/school-college…

#Geometry #Math #MathEd #STEM
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Antonio Gutierrez@gogeometry
Jul 19
Geometry Problem 1620 📐
Perpendicular chords split a circle into 4 curvilinear regions to reveal a hidden area difference invariant!

See why curves disappear, governed only by a central rectangle.

Details & proof: gogeometry.com/school-college…

#Geometry #Math #MathEd #STEM
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Antonio Gutierrez retweeted
Kanishk__@MS0697715051681
Jul 12
Replying to @gogeometry
Proof
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Antonio Gutierrez@gogeometry
Jul 12
Problem 1619 📐
In any right triangle with hypotenuse c and inradius r:

Area = r(r + c)

Explore the 3-piece area decomposition and submit your proof!🔗
gogeometry.com/school-college…

#GoGeometry #MathGems #Mathematics
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